分解公因式2题(x-2y+3y)²(-x+y)(-y-x)(-2x²+1/2)(-2x²-1/2)

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分解公因式2题(x-2y+3y)²(-x+y)(-y-x)(-2x²+1/2)(-2x²-1/2)

分解公因式2题(x-2y+3y)²(-x+y)(-y-x)(-2x²+1/2)(-2x²-1/2)
分解公因式2题
(x-2y+3y)²
(-x+y)(-y-x)
(-2x²+1/2)(-2x²-1/2)

分解公因式2题(x-2y+3y)²(-x+y)(-y-x)(-2x²+1/2)(-2x²-1/2)
(x-2y+3y)²=(x+y)²=x²+2xy+y²
(-x+y)(-y-x)=xy+x²-y²-xy=x²-y²

(x+y)²=x²+2xy+y²
xy-xy+x²-y²=x²-y²

(x-2y+3y)²=(x+y)²=x²+2xy+y²
(-x+y)(-y-x)=xy+x²-y²-xy=x²-y²
(-2x²+1/2)(-2x²-1/2)=(-2X)^2-(1/2)^2=4X^2-1/4